Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2012-02-16
Nonlinear Sciences
Pattern Formation and Solitons
5 pages, 4 figures, accepted to Phys. Rev. Lett
Scientific paper
By rearrangements of waveguide arrays with gain and losses one can simulate transformations among parity-time (PT-) symmetric systems not affecting their pure real linear spectra. Subject to such transformations, however, the nonlinear properties of the systems undergo significant changes. On an example of an array of four waveguides described by the discrete nonlinear Schr\"odinger equation with dissipation and gain, we show that the equivalence of the underlying linear spectra implies similarity of neither structure nor stability of the nonlinear modes in the arrays. Even the existence of one-parametric families of nonlinear modes is not guaranteed by the PT symmetry of a newly obtained system. Neither the stability is directly related to the PT symmetry: stable nonlinear modes exist even when the spectrum of the linear array is not purely real. We use graph representation of PT-symmetric networks allowing for simple illustration of linearly equivalent networks and indicating on their possible experimental design.
Konotop Vladimir V.
Zezyulin Dmitry A.
No associations
LandOfFree
Nonlinear modes in finite-dimensional PT-symmetric systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear modes in finite-dimensional PT-symmetric systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear modes in finite-dimensional PT-symmetric systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-125948